1345115520 has 384 divisors, whose sum is σ = 5392895040. Its totient is φ = 302579712.

The previous prime is 1345115489. The next prime is 1345115521. The reversal of 1345115520 is 255115431.

1345115520 is a `hidden beast` number, since 134 + 5 + 1 + 1 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345115521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2943132 + ... + 2943588.

Almost surely, 2^1345115520 is an apocalyptic number.

1345115520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696447520).

1345115520 is an abundant number, since it is smaller than the sum of its proper divisors (4047779520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1345115520 is a wasteful number, since it uses less digits than its factorization.

1345115520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1345115520 is about 36675.8165553270. The cubic root of 1345115520 is about 1103.8749070614.

The spelling of 1345115520 in words is "one billion, three hundred forty-five million, one hundred fifteen thousand, five hundred twenty".